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Pal P.J.,Dumkal Institute of Engineering and Technology | Mandal P.K.,Visva Bharati University | Lahiri K.K.,National Informatics Center Murshidabad District Unit
Nonlinear Dynamics

In this article, we study a ratio-dependent predator-prey model described by a Holling type III functional response with time delay incorporated into the resource limitation of the prey logistic equation. This investigation includes the influence of intra-species competition among the predator species. All the equilibria are characterized. Qualitative behavior of the complicated singular point (0,0) in the interior of the first quadrant is investigated by means of a blow-up transformation. Uniform persistence, stability, and Hopf bifurcation at the positive equilibrium point of the system are examined. Global asymptotic stability analyses of the positive equilibrium point by the Bendixon-Dulac criterion for non-delayed model and by constructing a suitable Lyapunov functional for the delayed model are carried out separately. We perform a numerical simulation to validate the applicability of the proposed mathematical model and our analytical findings. © 2013 Springer Science+Business Media Dordrecht. Source

Banerjee S.,Dr. B. C. Roy Engineering College | Dasgupta K.,Dumkal Institute of Engineering and Technology | Chanda C.K.,IIEST
International Journal of Electrical Power and Energy Systems

Hydro-wind-thermal scheduling is one of the most important optimization problems in power system. An aim of the short term hydrothermal scheduling of power systems is to determine the optimal hydro, wind and thermal generations in order to meet the load demands over a scheduled horizon of time while satisfying the various constraints on the hydraulic, wind and thermal power system network. In this paper we present optimal hourly schedule of power generation in a hydro-wind-thermal power system applying PSO technique. The simulation results inform that the proposed PSO approach appears to be the powerful to minimize fuel cost and it has better solution quality and good convergence characteristics than other techniques. © 2016 Elsevier Ltd. All rights reserved. Source

Pal P.J.,Dumkal Institute of Engineering and Technology | Mandal P.K.,Visva Bharati
Mathematics and Computers in Simulation

The paper is concerned with a modified Leslie-Gower delayed predator-prey system where the growth of prey population is governed by Allee effect and the predator population consumes the prey according to Beddington-DeAngelis type functional response. The situation of bi-stability and existence of two interior equilibrium points for the proposed model system are addressed. The stability of the steady state together with its dependence on the magnitude of time delay has been obtained. The conditions that guarantee the occurrence of the Hopf bifurcation in presence of delay are demonstrated. Furthermore, the direction of Hopf bifurcation and the stability of the bifurcating periodic solutions are determined by the normal form theory and the center manifold theorem. It is shown that time delay is incapable of avoiding the situation of extinction of the prey species. Finally, some numerical simulations have been carried out in order to validate the assumptions of the model. © 2013 IMACS. Published by Elsevier B.V. All rights reserved. Source

Das P.,Dumkal Institute of Engineering and Technology | Mondal B.,Institute of Management Sciences
18th International Symposium on VLSI Design and Test, VDAT 2014

The paper proposes a novel synthesis of reversible circuit through signature analysis. A set of grouping rules are proposed that are used for minimizing the output expressions and thus reducing the number of reversible gates to construct the circuit. Experimental results depict a huge amount of reduction on CNOT gate count and quantum cost. © 2014 IEEE. Source

Sun G.,North University of China | Sarwardi S.,Aliah University | Pal P.J.,Dumkal Institute of Engineering and Technology | Rahman M.S.,Sahapur Santal High School
Journal of Biological Systems

Formation of spatial patterns in prey-predator system is a central issue in ecology. In this paper Turing structure through diffusion driven instability in a modified Leslie-Gower and Holling-type II predator-prey model has been investigated. The parametric space for which Turing spatial structure takes place has been found out. Extensive numerical experiments have been performed to show the role of diffusion coefficients and other important parameters of the system in Turing instability that produces some elegant patterns that have not been observed in the earlier findings. Finally it is concluded that the diffusion can lead the prey population to become isolated in the two-dimensional spatial domain. © 2010 World Scientific Publishing Company. Source

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